On the Hochschild (co)homology of Quantum Homogeneous Spaces

Abstract

The recent result of Brown and Zhang establishing Poincare duality in the Hochschild (co)homology of a large class of Hopf algebras is extended to right coideal subalgebras over which the Hopf algebra is faithfully flat, and applied to the standard Podles quantum 2-sphere.

arXiv commentSignificant changes, main theorem in v1 was not correct as stated

References in corpus (5)

• Twisted cyclic homology of all Podles quantum spheres
• The Hochschild cohomology ring of the standard Podles quantum sphere
• The Van den Bergh duality and the modular symmetry of a Poisson variety
• Duality and products in algebraic (co)homology theories
• Homological properties of quantized coordinate rings of semisimple groups

Cited by in corpus (5)

• The quantization of the symplectic groupoid of the standard Podles sphere
• On the Smoothness of the Noncommutative Pillow and Quantum Teardrops
• The Hochschild cohomology ring of the standard Podles quantum sphere
• A residue formula for the fundamental Hochschild class of the Podles sphere
• Quantum Dimension and Quantum Projective Spaces